2006
DOI: 10.1016/j.imavis.2005.11.005
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Data-driven synthesis of composite-feature detectors for 3D image analysis

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Cited by 13 publications
(3 citation statements)
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References 103 publications
(205 reference statements)
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“…The transfer function (G) of a 3D Log-Gabor filter in the frequency domain (1) is constructed as the product of two components: a one dimensional Log Gabor function that controls the frequencies to which the filter responds and a rotational symmetric angular Gaussian function that controls the orientation selectivity of the filter [11].…”
Section: D Local Phase Symmetry Featurementioning
confidence: 99%
“…The transfer function (G) of a 3D Log-Gabor filter in the frequency domain (1) is constructed as the product of two components: a one dimensional Log Gabor function that controls the frequencies to which the filter responds and a rotational symmetric angular Gaussian function that controls the orientation selectivity of the filter [11].…”
Section: D Local Phase Symmetry Featurementioning
confidence: 99%
“…5 ) × log ( κ β ) . The Log‐Gabor filter is extended to 3D by multiplying the transfer function with a rotational symmetric angular Gaussian function ( A j ) that controls the orientation selectivity of the filter which results in a 3D Log‐Gabor filter , 3DG ij , with a transfer function given as: 3DGitalicij=Gip|κωoi×Ajp|ϕjθjσα,3DGitalicij=explog2ω()pω0i2log2κβ×expα()pϕjθj22σα2.Here the subscripts ‘ i ’ and ‘ j ’ denote the scale and orientation of the 3D filter, respectively. The angle between the direction of the filter, which is specified by the azimuth ( ϕ j ) and elevation ( θ j ) angles, and the position vector of a given point p in the frequency domain is given by α ( p , ϕ j , θ j ) = arccos( p ⋅ ν j /|| p ||), where ν j = (cos ϕ j × cos θ j , cos ϕ j × sin θ j , sin ϕ j ) is a unit vector in the filter's direction.…”
Section: Methodsmentioning
confidence: 99%
“…The spatial bandwidth (β) of the filter is calculated from the ratio of κ β using the following formula: β = -2 × (2/ log 2) (0.5) × log (κ β ) (23,24). The Log-Gabor filter is extended to 3D by multiplying the transfer function with a rotational symmetric angular Gaussian function (A j ) that controls the orientation selectivity of the filter (22,27) which results in a 3D Log-Gabor filter (22,27), 3DG ij , with a transfer function given as:…”
Section: D Local Phase-based Filter Designmentioning
confidence: 99%